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Finding the Fourth Proportional to 21,593.94, 32,379.84 and 9,897

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Solution

The fourth proportional to 21,593.94, 32,379.84 and 9,897 is: 14,840.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,593.94 : 32,379.84 = 9,897 : x
  2. Step 2: Convert to fraction form
    21,593.94/32,379.84 = 9,897/x
  3. Step 3: Cross multiply
    21,593.94x = 32,379.84 × 9,897
  4. Step 4: Simplify right side
    21,593.94x = 320,463,276.48
  5. Step 5: Solve for x
    x = 320,463,276.48/21,593.94
  6. Step 6: Final answer
    x = 14,840.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.